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sense: if f is in Hom(''K'', ''G''), h, k are elements of Hom(''G'', ''H''), and g is in Hom(''H'', ''L''), then
:1=(''h'' + ''k'') ? ''f'' = (''h'' ? ''f'') + (''k'' ? ''f'')    and    1=''g'' ? (''h'' + ''k'') = (''g'' ? ''h'') + (''g'' ? ''k'').Since the composition is associative, this shows that the set End(G) of all endomorphisms of an abelian group forms a ring, the endomorphism ring of

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